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Finding the Third Proportional to 6,736 and 15,670

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Solution

The third proportional to 6,736 and 15,670 is: 36,453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736 : 15,670 = 15,670 : x
  2. Step 2: Convert to fraction form
    6,736/15,670 = 15,670/x
  3. Step 3: Cross multiply
    6,736x = 15,670 × 15,670
  4. Step 4: Simplify right side
    6,736x = 245,548,900
  5. Step 5: Solve for x
    x = 245,548,900/6,736
  6. Step 6: Final answer
    x = 36,453.22

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.